GCD of 678, 603, 762, 960 Calculator

Given Input numbers are 678, 603, 762, 960

In the factoring method, we have to find the divisors of all numbers

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (678, 603, 762, 960) = 3.

Given numbers are 678, 603, 762, 960

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 603 are 3 x 3 x 67

Prime factors of 762 are 2 x 3 x 127

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 678, 603, 762, 960 is 3.

Given numbers are 678, 603, 762, 960

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(678, 603) = 136278

GCD(678, 603) = ( 678 x 603 ) / 136278

= 678 / 603

= 678

Step2:

LCM(3, 762) = 762

GCD(3, 762) = ( 3 x 762 ) / 762

= 3 / 762

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 678, 603, 762, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 658, 314, 273
• GCD of 685, 620, 899, 290
• GCD of 159, 144, 967, 152
• GCD of 462, 935, 604, 151
• GCD of 704, 743, 348, 165

Given numbers are 678, 603, 762, 960
The greatest common divisor of numbers 678, 603, 762, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 603, 762, 960 is 3.

1. What is the GCD of 678, 603, 762, 960?

GCD of given numbers 678, 603, 762, 960 is 3

2. How to calculate the greatest common divisor of 678, 603, 762, 960?

We can find the highest common divisor of 678, 603, 762, 960 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 678, 603, 762, 960 i.e 3.

3. How can I use the GCD of 678, 603, 762, 960Calculator?

Out the numbers 678, 603, 762, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.